Question

14 Determine a distância entre os pontos dados.
a) A(5, 2) e B(1, 3)
b) C(-1, 4) e D(-2, -3)
c) E(-4, -3) e 0(0, 0)
d) F(-5, 4) e G(2, -5)



Me ajudem por favor .​

Answer 1

Explicação passo-a-passo:

.

a) A(5, 2) e B(1, 3)

A(5, 2)

xa=5

ya=2

B(1, 3)

xb=1

yb=3

$d = \sqrt{(xa - xb) {}^{2} + (ya - yb) {}^{2} }$

$d = \sqrt{( 5 - 1) {}^{2} + (2 - 3) {}^{2} }$

$d = \sqrt{(4) {}^{2} + ( - 1) {}^{2} }$

$d = \sqrt{16 + 1}$

$d = \sqrt{17}$

.

b) C(-1, 4) e D(-2, -3)

C(-1, 4)

xa=-1

ya=4

D(-2, -3)

xb=-2

yb=-3

$d = \sqrt{(xa - xb) {}^{2} + (ya - yb) {}^{2} }$

$d = \sqrt{( - 1 + 2) {}^{2} + (4 + 3) {}^{2} }$

$d = \sqrt{( 1) {}^{2} + (7) {}^{2} }$

$d = \sqrt{1+49}$

$d = \sqrt{50}$

.

c) E(-4, -3) e 0(0, 0)

xa=-4

ya=-3

xb=0

yb=0

$d = \sqrt{(xa - xb) {}^{2} + (ya - yb) {}^{2} }$

$d = \sqrt{( - 4 + 0) {}^{2} + ( - 3 + 0) {}^{2} }$

$d = \sqrt{( - 4) {}^{2} + ( - 3) {}^{2} }$

$d = \sqrt{16 + 9}$

$d = \sqrt{25}$

$d = 5$

.

d) F(-5, 4) e G(2, -5)

xa=-5

ya=4

G(2, -5)

xb=2

yb=-5

$d = \sqrt{(xa - xb) {}^{2} + (ya - yb) {}^{2} }$

$d = \sqrt{( - 5 - 2) {}^{2} + (4 + 5) {}^{2} }$

$d = \sqrt{( - 7) {}^{2} + 9 {}^{2} }$

$d = \sqrt{49 + 81}$

$d = \sqrt{130}$